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Probability densities for the sums of iterates of the sine-circle map in the vicinity of the quasi-periodic edge of chaos
Probability densities sine-circle map chaos
2010/4/1
We investigate the probability density of rescaled sum of iterates of sine-circle map within quasi-periodic route to chaos. When the dynamical system is strongly mixing (i.e., ergodic), standard Centr...
Renormalization group structure for sums of variables generated by incipiently chaotic maps
Renormalization group chaotic maps
2010/4/7
We look at the limit distributions of sums of deterministic chaotic variables in unimodal maps and find a remarkable renormalization group (RG) structure associated to the operation of increment of su...